Abstract
The problem of observer design for the minimum-time state reconstruction of a general class of discrete-time linear multivariable systems is considered. Both full-order and minimal-order observers, each specified by a gain matrix in closed form, are presented which reconstruct the system state in a minimum of vo and vo − 1 steps respectively, where vo is the system observability index. The simplicity and generality of the designs are demonstrated by numerical example.
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